Balancing polynomials, Fibonacci numbers and some new series for π

07/13/2022

∙

by   Robert Frontczak, et al.

∙

0

∙

share

We evaluate some types of infinite series with balancing and Lucas-balancing polynomials in closed form. These evaluations will lead to some new curious series for π involving Fibonacci and Lucas numbers. Our findings complement those of Castellanos from 1986 and 1989.